Find all the second order partial derivatives of the given function.

$f(x,y)=xln(y-x)$

A$.\frac{de{l}^{2}f}{del{x}^2}=\frac{2y-x}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{del{y}^2}=-\frac{x}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{y}\text{d}\text{e}\text{l}\text{x}}=\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{x}\text{d}\text{e}\text{l}\text{y}}=\frac{y}{(y-x{)}^2}$

B$.\frac{de{l}^{2}f}{del{x}^2}=\frac{x-2y}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{del{y}^2}=-\frac{x}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{y}\text{d}\text{e}\text{l}\text{x}}=\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{x}\text{d}\text{e}\text{l}\text{y}}=\frac{y}{(y-x{)}^2}$

c$.\frac{de{l}^{2}f}{del{x}^2}=\frac{x-2y}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{del{y}^2}=-\frac{x}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{y}\text{d}\text{e}\text{l}\text{x}}=\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{x}\text{d}\text{e}\text{l}\text{y}}=-\frac{y}{(y-x{)}^2}$

D$.\frac{de{l}^{2}f}{del{x}^2}=\frac{x-2y}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{del{y}^2}=\frac{x}{(y-x{)}^2}$;$\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{y}\text{d}\text{e}\text{l}\text{x}}=\frac{de{l}^{2}f}{\text{d}\text{e}\text{l}\text{x}\text{d}\text{e}\text{l}\text{y}}=\frac{y}{(y-x{)}^2}$